462441 has 24 divisors (see below), whose sum is σ = 755904. Its totient is φ = 246240.

The previous prime is 462437. The next prime is 462443. The reversal of 462441 is 144264.

It is not a de Polignac number, because 462441 - 2² = 462437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

462441 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462441.

It is not an unprimeable number, because it can be changed into a prime (462443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7551 + ... + 7611.

It is an arithmetic number, because the mean of its divisors is an integer number (31496).

2⁴⁶²⁴⁴¹ is an apocalyptic number.

It is an amenable number.

462441 is a deficient number, since it is larger than the sum of its proper divisors (293463).

462441 is a wasteful number, since it uses less digits than its factorization.

462441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 462441 is about 680.0301463906. The cubic root of 462441 is about 77.3307301112.

It can be divided in two parts, 462 and 441, that added together give a triangular number (903 = T₄₂).

The spelling of 462441 in words is "four hundred sixty-two thousand, four hundred forty-one".